It's easier for me as I'm a SAHM but my house is a similar size to yours but with one less bedroom.
Every day I clean:
the kitchen morning and evening - this means wiping surfaces, cleaning tiles behind the sink, cooker hob, kitchen table, empty bins. Sweep floor and mop.
Dining room - wipe table, sweep floor, mop if needed
Bedrooms - make beds, scoop up washing
Playroom - wipe table, clean French doors (constantly covered in sticky hand prints), bin any bits of paper/snotty tissues which always seem to be left lying around, sweep floor
Hallway - sweep floor
Bathrooms - hang up towels, squirt of bleach in toilet, quick wipe of sinks
Living room - sort out sofa cushions, take out any toys that should be in playroom, bin any newspapers etc
Washing machine goes on as soon as I get up, then straight into dryer, fold and put away. I iron twice a week, theres never a lot to do as it's only really stuff that can't be tumble dried that needs it. Usually do 2 or 3 loads a day.
Once a week, usually a over a Thurs and Fri I:
Clean all the bathrooms Inc mopping the floors, wash towels
Clean kitchen cupboard fronts, all wall tiles, fridge
Wipe Walls down and skirting boards
Vacumn house thoroughly Inc all the cobwebs on ceilings!
Wash all the floors (only rooms with carpets are the bedrooms and main living room so we have a lot of wooden floors!)
Dust surfaces in all the rooms
Chuck out any clutter/random bits of paper/general crap
Wash bedding
It sounds a lot but daily it takes probably an hour, maybe a little more, doing the above stuff. I then have to keep on top of it during the day and I feel as though I'm constantly sorting/folding washing! The weekly jobs take longer, I hate cleaning the bathrooms but can do all 4 in about an hour and a quarter.
I too hate doing housework in evenings and weekends, I still need to do the daily tasks at weekends but doing the thorough clean through at the end of the week usually means the house survives with minimal intervention on a sat and Sunday lol.
I'd be even more organised if I didn't have a toddler following me around all day undoing all my good work - it's like shovelling snow in a blizzard here at times!